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A 50 kg crate is pushed with a force of 200 N. If the frictional force is 50 N,
A 50 kg crate is pushed with a force of 200 N. If the frictional force is 50 N, what is the acceleration? (2022)
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Q1
A 50 kg crate is pushed with a force of 200 N. If the frictional force is 50 N, what is the acceleration? (2022)
2 m/s²
3 m/s²
4 m/s²
5 m/s²
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Net force = applied force - friction = 200 N - 50 N = 150 N. Acceleration a = F/m = 150 N / 50 kg = 3 m/s².
Questions & Step-by-step Solutions
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Q
Q: A 50 kg crate is pushed with a force of 200 N. If the frictional force is 50 N, what is the acceleration? (2022)
Solution:
Net force = applied force - friction = 200 N - 50 N = 150 N. Acceleration a = F/m = 150 N / 50 kg = 3 m/s².
Steps: 8
Show Steps
Step 1: Identify the mass of the crate, which is 50 kg.
Step 2: Identify the applied force, which is 200 N.
Step 3: Identify the frictional force, which is 50 N.
Step 4: Calculate the net force by subtracting the frictional force from the applied force: Net force = 200 N - 50 N.
Step 5: Perform the subtraction: 200 N - 50 N = 150 N.
Step 6: Use the formula for acceleration, which is acceleration (a) = net force (F) / mass (m).
Step 7: Substitute the values into the formula: a = 150 N / 50 kg.
Step 8: Perform the division: 150 N / 50 kg = 3 m/s².
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